Only need number 10. Student number is 101058264. Please liste detailed explanat

Question

Only need number 10. Student number is 101058264. Please liste detailed explanation clearly! thanks will upvote

algorithms are used to search for an element of a list when the size of the list doubles from n to 2n, where n is a positive integer. a) Linear search b) Binary search 2 marks] 9. Plot the graph of fx) -3x+ 4 where (x | xE Z,-3 sx s3). Provide a table with the x and 12 marks] f(x) values. 10. Let a be the last digit in your student number, b be the second-to-last digit in your student number, c-10a, and d=6b. For the functions f and g defined as: f: z ? z ; f(x) = ax + c and g: Z ? Z ; g(x)-C2-d, compute the following: a. fog 11. In your own words, define 'countablility'. Give an example for something that is and another example for something that is not countable and exnlain why thev are/are

Explanation / Answer

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Student number which was given is - 101058264

Last digit - 4

Second last digit - 6

a = 4 ; b = 6 ; c = 40 ; d = 36

a) f * g = f ( g(x) )

f ( c2- d )

f (1600 - 36 )

f ( 1564 )

a*1564 + c

4*1564 + 40

6296 is the answer.

b) g * f = g ( f(x) )

g(4*a + 40)

As, the g(x) doesn't contain any x on the R. H. S. Therefore it is independent of 'x'.

g(56) = c2 - d

1600 - 36 = 1564

c) ( f * g ) * g

As we have already computed f*g in first part.

Lets, k = f*g and as per the part a) f*g = a*(c2-d) + c

So, k = a*(c2-d)+c

We need to find k*g or (f*g)*g

k(g(x)) = k(c2-d)

Now, the equation k is independent of the variable 'x'. So, we can say that -

k(c2-d) = a*(c2-d) + c

4*(1600-36) + 40

6296 is the answer

Thank you. Feel free to ask anything. Please upvote, if you like the answer. Thank you again.

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